The bar pointer model for joint meter, tempo, and rhythmic pattern inference
was proposed by Whiteley et al. [1]} to model the dynamics of a bar pointer that moves through a 2-d state space throughout a piece of music. The two dimensions of the state space represent relative positions within a bar (i.e., fractions of a bar) \(\Phi _{k}\in \lbrace 1,2,...,M\rbrace \) , and the tempo (i.e., number of frames per bar) \(\dot{\Phi }_{k}\in \lbrace  \dot{\Phi }_{min},\dot{\Phi }_{min+1},...,\dot{\Phi }_{max}\rbrace \) , at the \(k\) -th audio frame. This state space is discretized into even grids along both dimensions, making the position resolution (i.e., the number of states that each audio frame covers) different for pointer hypotheses with different tempi. Under the same framework, assuming a known and fixed meter, Krebs et al. [2]} proposed a different discretization strategy for the state space, where the number of states \(M(T)\)  depends on the tempo \(T\)  (in BPM) as:
\(M(T)= Round (\frac{ B\times 60 }{T\times \Delta }),\) 
